The variational quantum linear solver (VQLS), first proposed in [1]}, is designed to solve linear systems \(Ax=b\)  on near term quantum devices. Instead of using quantum phase estimation like the HHL algorithm [2]}, which is unfeasible on near term devices due to large circuit depth, VQLS adopts a variational circuit to prepare a state \({x}\)  such that
\(A{x} \propto {b}\) 
